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634277540 = 2251310922381
BaseRepresentation
bin100101110011100…
…100111010100100
31122012111122012202
4211303210322210
52244333340130
6142534434032
721501161441
oct4563447244
91565448182
10634277540
112a6040116
12158502918
13a153a870
146034a9c8
153aa3e145
hex25ce4ea4

634277540 has 48 divisors (see below), whose sum is σ = 1447667760. Its totient is φ = 232035840.

The previous prime is 634277533. The next prime is 634277621. The reversal of 634277540 is 45772436.

634277540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8076964 + 626200576 = 2842^2 + 25024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 634277494 and 634277503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17150 + ... + 39530.

It is an arithmetic number, because the mean of its divisors is an integer number (30159745).

Almost surely, 2634277540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634277540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723833880).

634277540 is an abundant number, since it is smaller than the sum of its proper divisors (813390220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634277540 is a wasteful number, since it uses less digits than its factorization.

634277540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22512 (or 22510 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 634277540 is about 25184.8672817627. The cubic root of 634277540 is about 859.1977104072.

The spelling of 634277540 in words is "six hundred thirty-four million, two hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5668 7085 14170 22381 28340 44762 89524 111905 223810 290953 447620 581906 1163812 1454765 2439529 2909530 4879058 5819060 9758116 12197645 24395290 31713877 48790580 63427754 126855508 158569385 317138770 634277540